The mid value of a class interval is 42. If the class size is 10 then the upper and lower limits of the class are

Options

A. 37.5 and 47.5
B. 47 and 37
C. 37 and 47
D. 47.5 and 37.5

Answer

To find the upper and lower limits of a class interval given the mid value and class size, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Mid value (M) = 42
- Class size (C) = 10

2. **Calculate half of the class size:**
\[ \text{Half of class size} = \frac{C}{2} = \frac{10}{2} = 5 \]

3. **Calculate the upper limit of the class:**
\[ \text{Upper limit} = \text{Mid value} + \text{Half of class size} \]
\[ \text{Upper limit} = 42 + 5 = 47 \]

4. **Calculate the lower limit of the class:**
\[ \text{Lower limit} = \text{Mid value} - \text{Half of class size} \]
\[ \text{Lower limit} = 42 - 5 = 37 \]

5. **Final result:**
- Upper limit = 47
- Lower limit = 37

### Summary:
The upper and lower limits of the class interval are 47 and 37, respectively.

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